A quadratic pattern has a second term equal to 1, a third term equal to - 16 and a fifth term equal to - 14

1.1.1. calculate the second difference of this quadratic pattern

1.1.2. hence or otherwise, calculate the first term of term

Question

Mathematics

Prince Bowman

4 September, 19:04

A quadratic pattern has a second term equal to 1, a third term equal to - 16 and a fifth term equal to - 14

1.1.1. calculate the second difference of this quadratic pattern

1.1.2. hence or otherwise, calculate the first term of term

+4

Answers (1)

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Honey · Answer 1

Given are several terms in a quadratic pattern:

a1 = ?

a2 = 1

a3 = - 16

a4 = ?

a5 = - 14

let:

x y

1?

2 1

3 - 16

4?

5 - 14

considering the 2nd term and 3rd term, we can determine a quadratic function:

y = - 17x + 35

therefore,

a1 = 18

a4 = - 33

A quadratic pattern has a second term equal to 1, a third term equal to - 16 and a fifth term equal to - 141.1.1. calculate the second difference of this quadratic pattern1.1.2. hence or otherwise, calculate the first term of term

A quadratic pattern has a second term equal to 1, a third term equal to - 16 and a fifth term equal to - 14

1.1.1. calculate the second difference of this quadratic pattern

1.1.2. hence or otherwise, calculate the first term of term